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Finding the Fourth Proportional to 580.78, 801.72 and 440.92

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Solution

The fourth proportional to 580.78, 801.72 and 440.92 is: 608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.78 : 801.72 = 440.92 : x
  2. Step 2: Convert to fraction form
    580.78/801.72 = 440.92/x
  3. Step 3: Cross multiply
    580.78x = 801.72 × 440.92
  4. Step 4: Simplify right side
    580.78x = 353,494.38
  5. Step 5: Solve for x
    x = 353,494.38/580.78
  6. Step 6: Final answer
    x = 608.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.